Shut the Box strategy for beginners

Shut the Box looks like pure luck: roll the dice, flip down some tiles, hope for the best. But almost every roll gives you a choice of tiles, and those choices decide how many good rolls are left for you. This tutorial walks through a sample turn, shows the odds of every two-dice total and turns them into a few habits that keep your score low. If you need the rules first, read the Shut the Box rules guide.

What you will learn

• How a turn plays out, with the reasoning behind each choice.
• How likely each dice total is, and why that matters.
• Why the high tiles should usually go first.
• When to use the one-die rule.
• The mistakes that cost beginners the most points.

A sample turn, step by step

Here is one turn with the classic 1–9 box, the way a careful player might play it.

1. Roll 4 and 5: total 9. You could shut the 9, or 1 + 8, 2 + 7, 3 + 6, 4 + 5, or one of three triples. Shut the 9: it is a high tile that only a 9 or more can clear, and it keeps all the small tiles.
2. Roll 6 and 2: total 8. Shut the 8, for the same reason.
3. Roll 3 and 4: total 7. Shut the 7. Now 7, 8 and 9 are all shut and the one-die rule applies, but 1 to 6 still add up to 21, so you keep rolling two dice.
4. Roll 5 and 6: total 11. No single tile makes 11 any more. The choices are 5 + 6, 2 + 4 + 5, 1 + 4 + 6, 2 + 3 + 6 and 1 + 2 + 3 + 5. Shut 5 and 6: two tiles instead of three or four, and the two biggest ones.
5. Roll 1 and 3: total 4. Shut the 4 rather than 1 + 3. Now only 1, 2 and 3 are open, adding up to 6, so switch to one die.
6. Roll one die: 5. Shut 2 and 3. Only the 1 is left.
7. Roll one die: 3. Nothing adds up to 3. The turn is over with a score of 1.

A score of 1 is a very good turn. One more lucky roll, a 1, would have shut the box. Notice what the choices had in common: high tiles first, as few tiles as possible, and a switch to one die only when little was left.

The odds of each total

Two dice can land in 36 equally likely ways. The totals are not equally likely, because more combinations make the middle numbers:

Totals from 5 to 9 make up two thirds of all rolls. A 2 or a 12 comes up only once in 36 rolls on average. With one die every number from 1 to 6 has the same chance: 1 in 6.

Two lessons come straight out of this table. First, a tile can only be shut by totals at least as big as its number, so the high tiles have the fewest chances. Second, the set of tiles you keep should be able to make the common middle totals, because those are the rolls you will see most.

Strategy tips

1. Shut the high tiles first

The 9 can be cleared by a 9, 10, 11 or 12, and that is all. The 1, by contrast, fits into almost any total. Every time you use small tiles to make a big roll (1 + 2 + 6 for a 9), you spend the flexible tiles and keep the stubborn one. When you can, shut the tile that matches the roll, or the pair that includes the highest tile: on a 10 with a full box, 1 + 9 is better than 4 + 6.

2. Use as few tiles as you can

Each tile you keep is another number you can combine later. Shutting three or four small tiles for one roll empties your toolbox quickly. In the sample turn, 5 + 6 for an 11 kept 1, 2, 3 and 4 open, which together can make every total from 1 to 10.

3. Keep the middle totals covered

Before you choose, look at what each option leaves behind and ask: can those tiles still make 6, 7 and 8? If one choice leaves tiles that can’t make a 7, the most common roll, prefer the other one. Late in a turn this matters more than the “high tiles first” habit, and occasionally it points the other way.

4. Know when to roll one die

The one-die rule is a choice. Here is the short version for the 1–9 box, worked out from the exact odds:

• Open tiles adding up to 6 or less: roll one die. Two dice can’t make a 1, and they rarely make 2 or 3.
• Exactly 7 open: it depends. With 1, 2 and 4 open, one die is slightly better. With two tiles such as 3 and 4, 2 and 5 or 1 and 6, two dice are better.
• 8 or more open: keep rolling two dice. They can make the bigger totals you need, and with tiles like 1 to 6 open almost every roll fits.

With the 12-tile box the rule only starts once the open tiles add up to 6 or less, so use it as soon as it is offered.

5. In a group game, the target is the score to beat

When you play against others, only the lowest score counts. Early players can’t know what will win, so they play for the lowest score they can. The last player can see the score to beat, and every tile choice should aim to get below it. On this site the computer’s hard level always plays the choice with the lowest expected score, worked out exactly for every box and every roll, which makes it a good teacher: watch which tiles it keeps.

Common beginner mistakes

• Spending small tiles early. 1 + 2 + 6 for a 9 feels clever, but the 9 is now stuck and you have lost two flexible tiles.
• Rolling one die too soon. With 1 to 6 still open, two dice are the better choice even though the rule allows one.
• Forgetting the rule exists. With only the 1 and 2 left, two dice almost always miss. One die gives you a real chance of shutting the box.
• Ignoring what is left. Look at the remaining tiles, not just the roll in front of you.
• Giving up on a high score. A bad start can still turn into a decent score. Every tile you shut lowers it.

A practice plan

1. Play a few solo games with the 9-tile box and the one-die rule on. Watch your best score on this device and try to beat it.
2. Say your choice out loud before you tap: “the 9, because it is the hardest to shut later”.
3. Play against the computer on Medium, which shuts the fewest and highest tiles, then try Hard and compare its choices with yours.
4. Try the 12-tile box when 9 tiles feel easy. Scores go up, so judge yourself against your own 12-tile best.

When you are ready, play Shut the Box again and put the odds to work. For more games that mix luck and simple sums, try Yacht Dice or browse the dice games and family games collections.